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Angle bisectors: an algebraic approach. (English)
Consortium 110, 1-2 (2016).
From the text: In algebra courses students are often taught several different forms for linear equations, the slope-intercept form $y=mx+b$, the point-slope form $y-y_1=m(x-x_1)$, and the standard form $ax+by+c=0$. I would like to add a fourth form, the normal form $ax+by+c=0$ with $\sqrt{a^2+b^2}=1$. The rest of this article will use this form and some of the vector algebra that is taught in an upper level pre-calculus course to find the equations of angle bisectors and planes that bisect dihedral angles.
Classification: G70
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